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Chords of rodan

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Below are listed the dyadic chords of 11-limit rodan temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 441/440 are werckismic, by 385/384 keenanismic, by 896/891 pentacircle, by 245/243 sensamagic. Those requiring tempering by both 385/384 and 245/243 are labeled sensamagic11, and those requiring both 441/440 and 896/891 pele.

Triads

Number
 Chord
 Transversal
 Type
1
 0-1-4
 1-8/7-12/7
 otonal
2
 0-3-4
 1-3/2-12/7
 utonal
3
 0-3-6
 1-3/2-9/8
 ambitonal
4
 0-1-7
 1-8/7-9/7
 otonal
5
 0-3-7
 1-3/2-9/7
 utonal
6
 0-4-7
 1-12/7-9/7
 otonal
7
 0-6-7
 1-9/8-9/7
 utonal
8
 0-4-11
 1-12/7-10/9
 sensamagic
9
 0-7-11
 1-9/7-10/9
 sensamagic
10
 0-1-12
 1-8/7-14/11
 werckismic
11
 0-6-12
 1-9/8-14/11
 pentacircle
12
 0-11-12
 1-10/9-14/11
 werckismic
13
 0-1-13
 1-8/7-16/11
 utonal
14
 0-6-13
 1-9/8-16/11
 pentacircle
15
 0-7-13
 1-9/7-16/11
 pentacircle
16
 0-12-13
 1-14/11-16/11
 otonal
17
 0-1-14
 1-8/7-5/3
 keenanismic
18
 0-3-14
 1-3/2-5/3
 otonal
19
 0-7-14
 1-9/7-5/3
 sensamagic
20
 0-11-14
 1-10/9-5/3
 utonal
21
 0-13-14
 1-16/11-5/3
 keenanismic
22
 0-3-16
 1-3/2-12/11
 utonal
23
 0-4-16
 1-12/7-12/11
 utonal
24
 0-12-16
 1-14/11-12/11
 otonal
25
 0-13-16
 1-16/11-12/11
 otonal
26
 0-1-17
 1-8/7-5/4
 keenanismic
27
 0-3-17
 1-3/2-5/4
 otonal
28
 0-4-17
 1-12/7-5/4
 keenanismic
29
 0-6-17
 1-9/8-5/4
 otonal
30
 0-11-17
 1-10/9-5/4
 utonal
31
 0-13-17
 1-16/11-5/4
 keenanismic
32
 0-14-17
 1-5/3-5/4
 utonal
33
 0-16-17
 1-12/11-5/4
 keenanismic
34
 0-1-18
 1-8/7-10/7
 otonal
35
 0-4-18
 1-12/7-10/7
 otonal
36
 0-6-18
 1-9/8-10/7
 werckismic
37
 0-7-18
 1-9/7-10/7
 otonal
38
 0-11-18
 1-10/9-10/7
 utonal
39
 0-12-18
 1-14/11-10/7
 werckismic
40
 0-14-18
 1-5/3-10/7
 utonal
41
 0-17-18
 1-5/4-10/7
 utonal
42
 0-1-19
 1-8/7-18/11
 werckismic
43
 0-3-19
 1-3/2-18/11
 utonal
44
 0-6-19
 1-9/8-18/11
 utonal
45
 0-7-19
 1-9/7-18/11
 utonal
46
 0-12-19
 1-14/11-18/11
 otonal
47
 0-13-19
 1-16/11-18/11
 otonal
48
 0-16-19
 1-12/11-18/11
 otonal
49
 0-18-19
 1-10/7-18/11
 werckismic
50
 0-11-30
 1-10/9-20/11
 utonal
51
 0-12-30
 1-14/11-20/11
 otonal
52
 0-13-30
 1-16/11-20/11
 otonal
53
 0-14-30
 1-5/3-20/11
 utonal
54
 0-16-30
 1-12/11-20/11
 otonal
55
 0-17-30
 1-5/4-20/11
 utonal
56
 0-18-30
 1-10/7-20/11
 utonal
57
 0-19-30
 1-18/11-20/11
 otonal

Tetrads

Number
 Chord
 Transversal
 Type
1
 0-1-4-7
 1-8/7-12/7-9/7
 otonal
2
 0-3-4-7
 1-3/2-12/7-9/7
 ambitonal
3
 0-3-6-7
 1-3/2-9/8-9/7
 utonal
4
 0-4-7-11
 1-12/7-9/7-10/9
 sensamagic
5
 0-1-7-13
 1-8/7-9/7-16/11
 pentacircle
6
 0-6-7-13
 1-9/8-9/7-16/11
 pentacircle
7
 0-1-12-13
 1-8/7-14/11-16/11
 werckismic
8
 0-6-12-13
 1-9/8-14/11-16/11
 pentacircle
9
 0-1-7-14
 1-8/7-9/7-5/3
 sensamagic11
10
 0-3-7-14
 1-3/2-9/7-5/3
 sensamagic
11
 0-7-11-14
 1-9/7-10/9-5/3
 sensamagic
12
 0-1-13-14
 1-8/7-16/11-5/3
 keenanismic
13
 0-7-13-14
 1-9/7-16/11-5/3
 sensamagic11
14
 0-3-4-16
 1-3/2-12/7-12/11
 utonal
15
 0-12-13-16
 1-14/11-16/11-12/11
 otonal
16
 0-1-4-17
 1-8/7-12/7-5/4
 keenanismic
17
 0-3-4-17
 1-3/2-12/7-5/4
 keenanismic
18
 0-3-6-17
 1-3/2-9/8-5/4
 otonal
19
 0-4-11-17
 1-12/7-10/9-5/4
 sensamagic11
20
 0-1-13-17
 1-8/7-16/11-5/4
 keenanismic
21
 0-6-13-17
 1-9/8-16/11-5/4
 sensamagic11
22
 0-1-14-17
 1-8/7-5/3-5/4
 keenanismic
23
 0-3-14-17
 1-3/2-5/3-5/4
 ambitonal
24
 0-11-14-17
 1-10/9-5/3-5/4
 utonal
25
 0-13-14-17
 1-16/11-5/3-5/4
 keenanismic
26
 0-3-16-17
 1-3/2-12/11-5/4
 keenanismic
27
 0-4-16-17
 1-12/7-12/11-5/4
 keenanismic
28
 0-13-16-17
 1-16/11-12/11-5/4
 keenanismic
29
 0-1-4-18
 1-8/7-12/7-10/7
 otonal
30
 0-1-7-18
 1-8/7-9/7-10/7
 otonal
31
 0-4-7-18
 1-12/7-9/7-10/7
 otonal
32
 0-6-7-18
 1-9/8-9/7-10/7
 werckismic
33
 0-4-11-18
 1-12/7-10/9-10/7
 sensamagic
34
 0-7-11-18
 1-9/7-10/9-10/7
 sensamagic
35
 0-1-12-18
 1-8/7-14/11-10/7
 werckismic
36
 0-6-12-18
 1-9/8-14/11-10/7
 pele
37
 0-11-12-18
 1-10/9-14/11-10/7
 werckismic
38
 0-1-14-18
 1-8/7-5/3-10/7
 keenanismic
39
 0-7-14-18
 1-9/7-5/3-10/7
 sensamagic
40
 0-11-14-18
 1-10/9-5/3-10/7
 utonal
41
 0-1-17-18
 1-8/7-5/4-10/7
 keenanismic
42
 0-4-17-18
 1-12/7-5/4-10/7
 keenanismic
43
 0-6-17-18
 1-9/8-5/4-10/7
 werckismic
44
 0-11-17-18
 1-10/9-5/4-10/7
 utonal
45
 0-14-17-18
 1-5/3-5/4-10/7
 utonal
46
 0-3-6-19
 1-3/2-9/8-18/11
 utonal
47
 0-1-7-19
 1-8/7-9/7-18/11
 werckismic
48
 0-3-7-19
 1-3/2-9/7-18/11
 utonal
49
 0-6-7-19
 1-9/8-9/7-18/11
 utonal
50
 0-1-12-19
 1-8/7-14/11-18/11
 werckismic
51
 0-6-12-19
 1-9/8-14/11-18/11
 pentacircle
52
 0-1-13-19
 1-8/7-16/11-18/11
 werckismic
53
 0-6-13-19
 1-9/8-16/11-18/11
 pentacircle
54
 0-7-13-19
 1-9/7-16/11-18/11
 pentacircle
55
 0-12-13-19
 1-14/11-16/11-18/11
 otonal
56
 0-3-16-19
 1-3/2-12/11-18/11
 ambitonal
57
 0-12-16-19
 1-14/11-12/11-18/11
 otonal
58
 0-13-16-19
 1-16/11-12/11-18/11
 otonal
59
 0-1-18-19
 1-8/7-10/7-18/11
 werckismic
60
 0-6-18-19
 1-9/8-10/7-18/11
 werckismic
61
 0-7-18-19
 1-9/7-10/7-18/11
 werckismic
62
 0-12-18-19
 1-14/11-10/7-18/11
 werckismic
63
 0-11-12-30
 1-10/9-14/11-20/11
 werckismic
64
 0-12-13-30
 1-14/11-16/11-20/11
 otonal
65
 0-11-14-30
 1-10/9-5/3-20/11
 utonal
66
 0-13-14-30
 1-16/11-5/3-20/11
 keenanismic
67
 0-12-16-30
 1-14/11-12/11-20/11
 otonal
68
 0-13-16-30
 1-16/11-12/11-20/11
 otonal
69
 0-11-17-30
 1-10/9-5/4-20/11
 utonal
70
 0-13-17-30
 1-16/11-5/4-20/11
 keenanismic
71
 0-14-17-30
 1-5/3-5/4-20/11
 utonal
72
 0-16-17-30
 1-12/11-5/4-20/11
 keenanismic
73
 0-11-18-30
 1-10/9-10/7-20/11
 utonal
74
 0-12-18-30
 1-14/11-10/7-20/11
 werckismic
75
 0-14-18-30
 1-5/3-10/7-20/11
 utonal
76
 0-17-18-30
 1-5/4-10/7-20/11
 utonal
77
 0-12-19-30
 1-14/11-18/11-20/11
 otonal
78
 0-13-19-30
 1-16/11-18/11-20/11
 otonal
79
 0-16-19-30
 1-12/11-18/11-20/11
 otonal
80
 0-18-19-30
 1-10/7-18/11-20/11
 werckismic

Pentads

Number
 Chord
 Transversal
 Type
1
 0-1-7-13-14
 1-8/7-9/7-16/11-5/3
 sensamagic11
2
 0-1-13-14-17
 1-8/7-16/11-5/3-5/4
 keenanismic
3
 0-3-4-16-17
 1-3/2-12/7-12/11-5/4
 keenanismic
4
 0-1-4-7-18
 1-8/7-12/7-9/7-10/7
 otonal
5
 0-4-7-11-18
 1-12/7-9/7-10/9-10/7
 sensamagic
6
 0-1-7-14-18
 1-8/7-9/7-5/3-10/7
 sensamagic11
7
 0-7-11-14-18
 1-9/7-10/9-5/3-10/7
 sensamagic
8
 0-1-4-17-18
 1-8/7-12/7-5/4-10/7
 keenanismic
9
 0-4-11-17-18
 1-12/7-10/9-5/4-10/7
 sensamagic11
10
 0-1-14-17-18
 1-8/7-5/3-5/4-10/7
 keenanismic
11
 0-11-14-17-18
 1-10/9-5/3-5/4-10/7
 utonal
12
 0-3-6-7-19
 1-3/2-9/8-9/7-18/11
 utonal
13
 0-1-7-13-19
 1-8/7-9/7-16/11-18/11
 pele
14
 0-6-7-13-19
 1-9/8-9/7-16/11-18/11
 pentacircle
15
 0-1-12-13-19
 1-8/7-14/11-16/11-18/11
 werckismic
16
 0-6-12-13-19
 1-9/8-14/11-16/11-18/11
 pentacircle
17
 0-12-13-16-19
 1-14/11-16/11-12/11-18/11
 otonal
18
 0-1-7-18-19
 1-8/7-9/7-10/7-18/11
 werckismic
19
 0-6-7-18-19
 1-9/8-9/7-10/7-18/11
 werckismic
20
 0-1-12-18-19
 1-8/7-14/11-10/7-18/11
 werckismic
21
 0-6-12-18-19
 1-9/8-14/11-10/7-18/11
 pele
22
 0-12-13-16-30
 1-14/11-16/11-12/11-20/11
 otonal
23
 0-11-14-17-30
 1-10/9-5/3-5/4-20/11
 utonal
24
 0-13-14-17-30
 1-16/11-5/3-5/4-20/11
 keenanismic
25
 0-13-16-17-30
 1-16/11-12/11-5/4-20/11
 keenanismic
26
 0-11-12-18-30
 1-10/9-14/11-10/7-20/11
 werckismic
27
 0-11-14-18-30
 1-10/9-5/3-10/7-20/11
 utonal
28
 0-11-17-18-30
 1-10/9-5/4-10/7-20/11
 utonal
29
 0-14-17-18-30
 1-5/3-5/4-10/7-20/11
 utonal
30
 0-12-13-19-30
 1-14/11-16/11-18/11-20/11
 otonal
31
 0-12-16-19-30
 1-14/11-12/11-18/11-20/11
 otonal
32
 0-13-16-19-30
 1-16/11-12/11-18/11-20/11
 otonal
33
 0-12-18-19-30
 1-14/11-10/7-18/11-20/11
 werckismic

Hexads

Number
 Chord
 Transversal
 Type
1
 0-11-14-17-18-30
 1-10/9-5/3-5/4-10/7-20/11
 utonal
2
 0-12-13-16-19-30
 1-14/11-16/11-12/11-18/11-20/11
 otonal